Factorise each of the following: (i) \( 8 a^{3}+b^{3}+12 a^{2} b+6 a b^{2} \) (ii) \( 8 a^{3}-b^...
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Factorise each of the following:
(i) \( 8 a^{3}+b^{3}+12 a^{2} b+6 a b^{2} \)
(ii) \( 8 a^{3}-b^{3}-12 a^{2} b+6 a b^{2} \)
(iii) \( 27-125 a^{3}-135 a+225 a^{2} \)
(iv) \( 64 a^{3}-27 b^{3}-144 a^{2} b+108 a b^{2} \)
P
IV
(v) \( 27 p^{3}-\frac{1}{216}-\frac{9}{2} p^{2}+\frac{1}{4} p \)
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